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Finding the Fourth Proportional to 421.88, 633.40 and 300.83

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Solution

The fourth proportional to 421.88, 633.40 and 300.83 is: 451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.88 : 633.40 = 300.83 : x
  2. Step 2: Convert to fraction form
    421.88/633.40 = 300.83/x
  3. Step 3: Cross multiply
    421.88x = 633.40 × 300.83
  4. Step 4: Simplify right side
    421.88x = 190,541.80
  5. Step 5: Solve for x
    x = 190,541.80/421.88
  6. Step 6: Final answer
    x = 451.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.